# Questions tagged [binomial-distribution]

The binomial distribution gives the frequencies of "successes" in a fixed number of independent "trials". Use this tag for questions about data that might be binomially distributed or for questions about the theory of this distribution.

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### Transforming the expected value of $Y_i$ in binomial regression

Currently, I'm learning generalized linear regression (GLM). There is something troubling me concerning binomial regression. In this text, in the part about the structure of a GLM, the random ...
23k views

### Logistic Regression: Bernoulli vs. Binomial Response Variables

I want to perform logistic regression with the following binomial response and with $X_1$ and $X_2$ as my predictors. I can present the same data as Bernoulli responses in the following format. The ...
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### Understanding Binomial Classifier

In trying to predict the binary class label $y∈\{0,1\}$ given the input $x$, how can I avoid making assumptions about the data, what are the forms of the distributions and how many parameters do I ...
24 views

### How to calculate mean and proportion from a binomial distribution?

Lets say that I flip a coin and get heads 50/200 times. What would my proportion and mean be for this binomial distribution? I am getting confused, because in a binomial distribution there are only 2 ...
281 views

### binomial pairs probability

A group of four people is said to be “interesting", if there are at most five pairs who are friends. Assume that each pair of people are friends, independent of every other pair, with probability 1/2 ....
329 views

### Are there better estimators of misclassification error than the fraction of misclassified test points?

Assume we train a binary classification model using the training set. Also assume that the model returns an estimate of the probability of success $\hat f(x)$ for every feature vector $x$ and was ...
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### Can I use age category as a inflating factor and current age (continuous) as an offset variable in zero inflated negative binomial model?

I am predicting the effect of women empowerment on children ever born using zero inflated negative binomial model. I want to use current age of women as an offset variable. Is it right to use current ...
15k views

### Confidence interval around binomial estimate of 0 or 1

What is the best technique to calculate a confidence interval of a binomial experiment, if your estimate is that $p=0$ (or similarly $p=1$) and sample size is relatively small, for example $n=25$?
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### Confidence interval of the mean of derived random variables

I have two random variables modeled by a Binomial each: $$X_1 \sim Bin(n_1, p_1)$$ $$Y_1 \sim Bin(n_2, p_2)$$ For each of those random variables I have one observation each. Based on that observation ...
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### Implicit Ordering in Bernoulli Distributions?

Let $X$ be a Bernoulli random variable with success parameter $p$ As we usually consider the support as $\{0, 1\}$, we write $P(X = 1) = p$ and $P(X = 0) = 1-p$ This $0,1$-encoding seems to induce an ...
772 views

### Appropriate GLM when response variable is proportion, but not binomial

The response variable I'm dealing with is the proportion of a total area that is suitable habitat for a species of interest. So although the response variable is bounded between 0 and 1, my intuition ...
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### Evaluating Block Bootstrap Confidence Interval

I have an estimation that is obtained by using MCMC. In order to calculate the standard error of the estimation, I use Block Bootstrap approach and using this standard error I create a 95% confidence ...